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Finding the Fourth Proportional to 55,378.80, 76,421.52 and 30,228.30

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Solution

The fourth proportional to 55,378.80, 76,421.52 and 30,228.30 is: 41,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,378.80 : 76,421.52 = 30,228.30 : x
  2. Step 2: Convert to fraction form
    55,378.80/76,421.52 = 30,228.30/x
  3. Step 3: Cross multiply
    55,378.80x = 76,421.52 × 30,228.30
  4. Step 4: Simplify right side
    55,378.80x = 2,310,092,633.02
  5. Step 5: Solve for x
    x = 2,310,092,633.02/55,378.80
  6. Step 6: Final answer
    x = 41,714.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.